The Refined Theory of Axisymmetric Circular Cylinder in One-dimensional Hexagonal Quasicrystals

被引:1
|
作者
Zhao, Baosheng [1 ]
Wu, Di [1 ]
机构
[1] Univ Sci & Technol Liaoning, Sch Mech Engn, Anshan 114051, Peoples R China
关键词
the axisymmetric deformation; the circular cylinder; the refined theory; Bessel's Function; one-dimensional hexagonal quasicrystals;
D O I
10.4028/www.scientific.net/AMM.217-219.1421
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A refined theory of axisymmetric cylinder in one-dimensional (1D) hexagonal quasicrystals (QCs) is analyzed. Based on elastic theory with 1D hexagonal QCs, the refined theory of axisymmetric cylinder is derived by using general solution of 1D hexagonal QCs and Lur'e method without ad hoc assumptions. At first, expressions were obtained for all the phonon and phason displacements and stress components in term of the three functions with single independent variable. Based on the boundary conditions, the refined equation for the cylinder is derived directly. And the approximate equation is accurate up to the second-order terms with respect to radius of circular cylinder.
引用
收藏
页码:1421 / 1424
页数:4
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